Kummer congruences for expressions involving generalized Bernoulli polynomials

Journal de Theorie des Nombres de Bordeaux

Volumn 14, Issue 1, 2002, Pages 187-204

  Fox, Glenn J ^a  

^a EMORY UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85009887967     PISSN: 12467405     EISSN: None     Source Type: Journal    
DOI: 10.5802/jtnb.353     Document Type: Article

References (13)

1. L. CARLITZ, Arithmetic properties of generalized Bernoulli numbers. J. Reine Angew. Math. 202 (1959), 174-182.
2. L. COMTET, Advanced Combinatorics. The Art of Finite and Infinite Expansions, Revised and enlarged edition. D. Reidel Publishing Co., Dordrecht, 1974.
3. M. EIE, Y. L. ONG, A generalization of Kummer’s congruences. Abh. Math. Sem. Univ. Hamburg 67 (1997), 149-157.
4. G. J. Fox, A p-adic L-function of two variables. Enseign. Math. (2) 46 (2000), 225-278.
5. J. FRESNEL, Nombres de Bernoulli et fonctions L p-adiques. Ann. Inst. Fourier 17 (1967), 281-333.
6. H. S. GUNARATNE, A new generalisation of the Kummer congruence. Computational algebra and number theory (Sydney, 1992), Math. Appl. 325, Kluwer Acad. Publ., Dordrecht, 1995, 255-265.
7. H. S. GUNARATNE, Periodicity of Kummer congruences, Number theory. (Halifax, NS,1994), CMS Conf. Proc. 15, Amer. Math. Soc., Providence, RI, 1995, 209-214.
8. T. KUBOTA, H.-W. LEOPOLDT, Eine p-adische Theorie der Zetawerte. 1. Einführung der p-adischen Dirichdetschen L-funktionen. J. Reine Angew. Math. 214/215 (1964), 328-339.
9. W. NARKIEWICZ, Polynomial mappings. Lecture Notes in Mathematics, 1600, Springer- Verlag, Berlin, 1995.
10. K. SHIRATANI, Kummer’s congruence for generalized Bernoulli numbers and its application. Mem. Fac. Sci. Kyushu Univ. Ser. A 26 (1972), 119-138.
11. L. C. Washington, Introduction to Cyclotomic Fields, Second edition. Graduate Texts in Mathematics 83, Springer-Verlag, New York, 1997.
12. P. T. YOUNG, Congruences for Bernoulli, Euler, and Stirling numbers. J. Number Theory 78 (1999), 204-227.
13. P. T. YOUNG, Kummer congruences for values of Bernouili and Euler polynomials. Acta Arith. 99 (2001), 277-288.